114997248 has 144 divisors (see below), whose sum is σ = 352628640. Its totient is φ = 35979264.

The previous prime is 114997243. The next prime is 114997249. The reversal of 114997248 is 842799411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114997241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313161 + ... + 313527.

It is an arithmetic number, because the mean of its divisors is an integer number (2448810).

Almost surely, 2^114997248 is an apocalyptic number.

114997248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114997248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176314320).

114997248 is an abundant number, since it is smaller than the sum of its proper divisors (237631392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114997248 is a wasteful number, since it uses less digits than its factorization.

114997248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 389 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 114997248 is about 10723.6769813343. The cubic root of 114997248 is about 486.2905339996.

The spelling of 114997248 in words is "one hundred fourteen million, nine hundred ninety-seven thousand, two hundred forty-eight".